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Simplifying 4p + -1(7 + -4p) = 6p + 5 4p + (7 * -1 + -4p * -1) = 6p + 5 4p + (-7 + 4p) = 6p + 5 Reorder the terms: -7 + 4p + 4p = 6p + 5 Combine like terms: 4p + 4p = 8p -7 + 8p = 6p + 5 Reorder the terms: -7 + 8p = 5 + 6p Solving -7 + 8p = 5 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -7 + 8p + -6p = 5 + 6p + -6p Combine like terms: 8p + -6p = 2p -7 + 2p = 5 + 6p + -6p Combine like terms: 6p + -6p = 0 -7 + 2p = 5 + 0 -7 + 2p = 5 Add '7' to each side of the equation. -7 + 7 + 2p = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2p = 5 + 7 2p = 5 + 7 Combine like terms: 5 + 7 = 12 2p = 12 Divide each side by '2'. p = 6 Simplifying p = 6
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